Volume 76, Number 6, December 2006
|Page(s)||1036 - 1042|
|Published online||29 November 2006|
Computing fractal dimension in supertransient systems directly, rapidly and reliably
Semel Institute for Neuroscience and Human Behavior, University of California Los Angeles, CA 90024, USA
2 University of Groningen, Department of Econometrics - P.O. Box 800 NL-9700 AV, Groningen, The Netherlands
Accepted: 31 October 2006
Chaotic transients occur in many experiments including those in fluids, in simulations of the plane Couette flow, and in coupled map lattices and they are a common phenomena in dynamical systems. Superlong chaotic transients are caused by the presence of chaotic saddles whose stable sets have fractal dimensions that are close to phase-space dimension. For many physical systems chaotic saddles have a big impact on laboratory measurements, and it is important to compute the dimension of such stable sets including fractal basin boundaries through a direct method. In this work, we present a new method to compute the dimension of stable sets of chaotic saddles directly, rapidly and reliably.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Df – Fractals / 05.45.Pq – Numerical simulations of chaotic systems
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.